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10004023133 = 131722662769
BaseRepresentation
bin10010101000100100…
…10100011101011101
3221211012100000211022
421110102110131131
5130442012220013
64332404533525
7502623536126
oct112422243535
927735300738
1010004023133
114274012715
121b323b12a5
13c35798720
146ac8cd04d
153d8405008
hex25449475d

10004023133 has 12 divisors (see below), whose sum is σ = 11444585460. Its totient is φ = 8691274752.

The previous prime is 10004023039. The next prime is 10004023151. The reversal of 10004023133 is 33132040001.

It is a happy number.

10004023133 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 625650169 + 9378372964 = 25013^2 + 96842^2 .

It is not a de Polignac number, because 10004023133 - 28 = 10004022877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004023163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1327628 + ... + 1335141.

It is an arithmetic number, because the mean of its divisors is an integer number (953715455).

Almost surely, 210004023133 is an apocalyptic number.

10004023133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10004023133 is a deficient number, since it is larger than the sum of its proper divisors (1440562327).

10004023133 is a wasteful number, since it uses less digits than its factorization.

10004023133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662816 (or 2662799 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10004023133 its reverse (33132040001), we get a palindrome (43136063134).

The spelling of 10004023133 in words is "ten billion, four million, twenty-three thousand, one hundred thirty-three".

Divisors: 1 13 17 221 289 3757 2662769 34615997 45267073 588471949 769540241 10004023133